Given Numbers are 331, 337

We can find the LCM of 331, 337 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 331 and 337

Multiples of 331 =331,662,993,1324,1655,1986,2317,2648,2979,3310,3641,3972,4303,4634,4965,5296,5627,

Multiples of 337 =337,674,1011,1348,1685,2022,2359,2696,3033,3370,3707,4044,4381,4718,5055,5392,5729,

Now, get the least common multiple of 331, 337 which is 111547

So, the LCM of 331, 337 is 111547.

One method for determining the LCM of 331 and 337 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 331's prime factorization:

Prime factors of 331 are 331.

331 = 331¹

And this is 337's prime factorization:

Prime factors of 337 are 337.

337 = 337¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered:331,337

331¹×337¹ = 111547

This shows that the LCM of 331 and 337 is 111547.

The first step in determining the Least Common Multiple of 331 and 337 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 331 and 337:

Lets look at the first ten multiples of these numbers, 331 and 337:

331,662,993,1324,1655,1986,2317,2648,2979,5627 are the first ten multiples of 331.

337,674,1011,1348,1685,2022,2359,2696,3033,5729 are the first ten multiples of 337.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 331 and 337, for example, are 3972, 5627, and 5392. 111547 is the least common multiple since it is the smallest.

331 and 337 have an LCM of 111547.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 331 and 337, than apply into the LCM equation.

GCF(331,337) = 1
LCM(331,337) = ( 331 × 337) / 1
LCM(331,337) = 111547 / 1
LCM(331,337) = 111547

1. What is the LCM of 331 and 337?

The LCM of 331 and 337 is 111547.

2. How to find the lowest common multiple of 331 and 337?

To find the lowest common multiple of 331 and 337, we have to get the multip;es of both numbers and identify the least common multiple in them which is 111547.

3. What are the Factors of 331?

Answer: Factors of 331 are 1, 331. There are 2 integers that are factors of 331. The greatest factor of 331 is 331.

4. What are the Factors of 337?

Answer: Factors of 337 are 1, 337. There are 2 integers that are factors of 337. The greatest factor of 337 is 337.

Answer:

Least Common Multiple of 331 and 337 = 111547

Step 1: Find the prime factorization of 331

331 = 331

Step 2: Find the prime factorization of 337

337 = 337

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 111547 = 331 x 337

Step 4: Therefore, the least common multiple of 331 and 337 is 111547.